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Patrick Street Productions produces musicals - Edexcel - A-Level Economics A - Question 4 - 2021 - Paper 1

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Patrick Street Productions produces musicals. Its latest production is ‘It’s a Wonderful Life’ and the total cost of this production is $200,000. The ticket price is... show full transcript

Worked Solution & Example Answer:Patrick Street Productions produces musicals - Edexcel - A-Level Economics A - Question 4 - 2021 - Paper 1

Step 1

Calculate the total revenue from ticket sales for ‘It’s a Wonderful Life’

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Answer

To calculate the total revenue from ticket sales, we can use the following formula:

  1. Determine the total number of tickets sold:

    Total seats = 300

    Total shows = 5 (as mentioned in the question)

    Therefore, total tickets sold = 300 seats * 5 shows = 1500 tickets.

  2. Calculate the total revenue from ticket sales:

    Total revenue = Ticket price * Total tickets sold

    Total revenue = 401500=40 * 1500 = 60,000.

Step 2

Calculate the value of the government subsidy necessary for this production to cover all of its costs

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Answer

To find the value of the government subsidy, follow these steps:

  1. Calculate the percentage contributions to the total cost:

    • Revenue from ticket sales contributes 30% of total costs.
    • Charitable donations contribute 12.5% of total costs.
    • Hence, total contributions from ticket sales and donations = 30% + 12.5% = 42.5%.
  2. Find the remaining percentage that needs to be covered:

    Remaining percentage = 100% - 42.5% = 57.5%.

  3. Calculate the subsidy value:

    Total cost = $200,000

    Government subsidy = 57.5% of 200,000=0.575200,000=200,000 = 0.575 * 200,000 = 115,000.

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